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10200442013 is a prime number
BaseRepresentation
bin10010111111111111…
…00110010010011101
3222022212221010212122
421133333212102131
5131342303121023
64404102512325
7510530216666
oct113777462235
928285833778
1010200442013
11436497a073
121b881356a5
13c6739aa08
146caa1c36d
153ea7a32c8
hex25ffe649d

10200442013 has 2 divisors, whose sum is σ = 10200442014. Its totient is φ = 10200442012.

The previous prime is 10200441943. The next prime is 10200442019. The reversal of 10200442013 is 31024400201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10198374169 + 2067844 = 100987^2 + 1438^2 .

It is an emirp because it is prime and its reverse (31024400201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10200442013 - 224 = 10183664797 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10200441982 and 10200442000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200442019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100221006 + 5100221007.

It is an arithmetic number, because the mean of its divisors is an integer number (5100221007).

Almost surely, 210200442013 is an apocalyptic number.

It is an amenable number.

10200442013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200442013 is an equidigital number, since it uses as much as digits as its factorization.

10200442013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10200442013 its reverse (31024400201), we get a palindrome (41224842214).

The spelling of 10200442013 in words is "ten billion, two hundred million, four hundred forty-two thousand, thirteen".